The paper is organized as follows. In Section , the 2D-KRK operator is introduced, its Fourier integral solution is obtained, and its long-time asymptotic behaviour is determined. Section  similarly examines the 2D-CMH operator. A comparison between the 2D responses in Sections  and  and their 1D counterparts in [1]} and [2]} is provided in Section , and concluding remarks are provided in Section .
